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A259325 Infinite square array T(n,k) read by antidiagonals, defined by T(n,k) = T(n,k-1)+T(n-k,k), T(0,k)=1 (n >= 0, k >= 1). 0

%I #15 Aug 15 2015 21:21:24

%S 1,1,3,1,3,7,1,3,8,13,1,3,8,16,22,1,3,8,17,30,34,1,3,8,17,33,50,50,1,

%T 3,8,17,34,58,80,70,1,3,8,17,34,61,97,120,95

%N Infinite square array T(n,k) read by antidiagonals, defined by T(n,k) = T(n,k-1)+T(n-k,k), T(0,k)=1 (n >= 0, k >= 1).

%H E. Fix and J. L. Hodges, Jr., <a href="http://www.jstor.org/stable/2236885">Significance probabilities of the Wilcoxon test</a>, Annals Math. Stat., 26 (1955), 301-312. See Table II.

%H E. Fix and J. L. Hodges, <a href="/A000601/a000601.pdf">Significance probabilities of the Wilcoxon test</a>, Annals Math. Stat., 26 (1955), 301-312. [Annotated scanned copy]

%e The first few antidiagonals are:

%e 1

%e 1,3,

%e 1,3,7

%e 1,3,8,13

%e 1,3,8,16,22

%e 1,3,8,17,30,34

%e 1,3,8,17,33,50,50

%e 1,3,8,17,34,58,80,70

%e 1,3,8,17,34,61,97,120,95

%e ...

%Y Columns give A002623, A002624, A002625, A002626.

%K nonn,tabl,more

%O 0,3

%A _N. J. A. Sloane_, Jun 24 2015

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Last modified August 24 19:46 EDT 2024. Contains 375417 sequences. (Running on oeis4.)